Smarandache Fuzzy Algebra

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Smarandache Fuzzy Algebra

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2003

Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.In any human field, a Smarandache n-structure on a set S means a weak structure {w(0)} on S such that there exists a chain of proper subsets P(n-1) in P(n-2) in?in P(2) in P(1) in S whose corresponding structures verify the chain {w(n-1)} includes {w(n-2)} includes? includes {w(2)} includes {w(1)} includes {w(0)}, where 'includes' signifies 'strictly stronger' (i.e., structure satisfying more axioms).This book is referring to a Smarandache 2-algebraic structure (two levels only of structures in algebra) on a set S, i.e. a weak structure {w(0)} on S such that there exists a proper subset P of S, which is embedded with a stronger structure {w(1)}. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved problems, and theorems. Also, applications of Smarandache groupoids, near-rings, and semirings in automaton theory, in error correcting codes, and in the construction of S-sub-biautomaton can be found in the last chapter.

Smarandache Fuzzy Algebra

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Bookman Publishing & Marketing
Release Date : 2003

Smarandache Fuzzy Algebra written by W. B. Vasantha Kandasamy and has been published by Bookman Publishing & Marketing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Q Smarandache Fuzzy Implicative Ideal Of Qsmarandache Bh Algebra

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Author : Husein Hadi Abbass
language : en
Publisher: Infinite Study
Release Date :

Q Smarandache Fuzzy Implicative Ideal Of Qsmarandache Bh Algebra written by Husein Hadi Abbass and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this paper, The notions of Q-Smarandache fuzzy implicative ideal and Q- Smarandache fuzzy sub implicative ideal of a Q-Smarandache BH-Algebra introduced, examples are given, and related properties investigated the relationships among these notions and other types of Q-Smarandache fuzzy ideal of a Q-Smarandache BH-Algebra are studied.

On The Structure Of General Algebras And Its Applications

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Author : Young Joo Seo
language : en
Publisher: Infinite Study
Release Date :

On The Structure Of General Algebras And Its Applications written by Young Joo Seo and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this thesis, we discuss some structural theory of a d-algebra which is a generalization of a BCK-algebra, and wedis uss analytic real algebras. We investigate several conditions for analytic real algebras to be d-algebras. Moreover, we introduce the notion of a Smarandacheness to BCI-algebras, and obtain several properties on Smarandache fuzzy BCI-algebras.

On A Q Smarandache Fuzzy Commutative Ideal Of A Q Smarandache Bh Algebra

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Author : Husein Hadi Abbass
language : en
Publisher: Infinite Study
Release Date :

On A Q Smarandache Fuzzy Commutative Ideal Of A Q Smarandache Bh Algebra written by Husein Hadi Abbass and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

In this paper, the notions of Q-Smarandache fuzzy commutative ideal and Q-Smarandache fuzzy sub-commutative ideal of a Q-Smarandache BH-Algebra are introduced, examples and related properties are investigated. Also, the relationships among these notions and other types of Q-Smarandache fuzzy ideal of a Q-Smarandache BH-Algebra are studied.

Elementary Fuzzy Matrix Theory And Fuzzy Models For Social Scientists

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Author : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
language : en
Publisher: Infinite Study
Release Date : 2007-03-01

Elementary Fuzzy Matrix Theory And Fuzzy Models For Social Scientists written by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-01 with Mathematics categories.

Smarandache Near Rings

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2002

Smarandache Near Rings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).

Smarandache Fuzzy Strong Ideal And Smarandache Fuzzy N Fold Strong Ideal Of A Bh Algebra

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Author : Shahrezad Jasim Mohammed
language : en
Publisher: Infinite Study
Release Date :

Smarandache Fuzzy Strong Ideal And Smarandache Fuzzy N Fold Strong Ideal Of A Bh Algebra written by Shahrezad Jasim Mohammed and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

In this paper, we define the concepts of a Q-Smarandache n-fold strong ideal anda Q-Smarandache fuzzy (strong, n-fold strong) ideal of a BH-algebra. Also, we study some properties of these fuzzy ideals.

Interval Neutrosophic Sets And Logic Theory And Applications In Computing

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Author : Haibin Wang
language : en
Publisher: Infinite Study
Release Date : 2005

Interval Neutrosophic Sets And Logic Theory And Applications In Computing written by Haibin Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Neutrosophic Rings

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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2006-01-01

Neutrosophic Rings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.

Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.